﻿410 
  Dr. 
  T. 
  Muir 
  : 
  Aggregates 
  of 
  

  

  fluid 
  any 
  impurities 
  which 
  are 
  detrimental 
  to 
  the 
  film. 
  In 
  

   this 
  way, 
  1 
  have 
  been 
  able 
  to 
  introduce 
  ligroin 
  in 
  quantities 
  

   sufficient 
  to 
  thoroughly 
  wet 
  the 
  inside 
  of 
  the 
  bulb, 
  and 
  have 
  

   obtained 
  in 
  this 
  way 
  colours 
  of 
  even 
  greater 
  brilliancy 
  than 
  

   before. 
  

  

  Conclusion, 
  

  

  At 
  the 
  present 
  stage 
  of 
  the 
  work, 
  it 
  seems 
  to 
  me 
  that 
  it 
  is 
  

   impossible 
  to 
  decide 
  either 
  in 
  favour 
  of, 
  or 
  against, 
  the 
  theory 
  

   of 
  resonance. 
  Most 
  of 
  the 
  changes 
  produced 
  by 
  varying 
  the 
  

   conditions 
  seem 
  to 
  be 
  what 
  we 
  should 
  expect. 
  The 
  idea 
  of 
  

   electrical 
  resonance 
  has, 
  at 
  all 
  events, 
  proved 
  useful 
  as 
  a 
  

   working 
  hypothesis, 
  for 
  it 
  led 
  directly 
  to 
  the 
  discovery 
  of 
  

   the 
  cause 
  of 
  the 
  changes 
  produced 
  by 
  low 
  temperatures. 
  

   While 
  I 
  have 
  obtained 
  coloured 
  films 
  from 
  sodium, 
  potassium, 
  

   and 
  lithium, 
  I 
  have 
  been 
  unable 
  to 
  obtain 
  them 
  from 
  thalium 
  

   and 
  cadmium, 
  which 
  give 
  granular 
  deposits 
  very 
  similar 
  in 
  

   other 
  respects. 
  I 
  cannot 
  help 
  feeling 
  that 
  I 
  shall 
  eventually 
  

   find 
  some 
  other 
  explanation 
  than 
  the 
  one 
  ventured 
  in 
  the 
  

   title 
  of 
  this 
  paper, 
  though 
  I 
  have 
  been 
  unable 
  to 
  conceive 
  

   of 
  any 
  arrangement 
  of 
  media 
  which 
  will 
  show 
  colours 
  of 
  

   this 
  nature 
  by 
  interference. 
  At 
  all 
  events, 
  it 
  appears 
  to 
  me 
  

   that 
  we 
  have 
  colour 
  phenomena 
  quite 
  unlike 
  any 
  that 
  are 
  

   already 
  known, 
  and 
  which 
  are 
  of 
  some 
  interest, 
  regardless 
  of 
  

   the 
  ultimate 
  explanation 
  which 
  may 
  be 
  given 
  them. 
  

  

  Baltimore, 
  February 
  1, 
  1902. 
  

  

  XLV. 
  Aggregates 
  of 
  Minors 
  of 
  an 
  Axisymmetric 
  Determinant. 
  

   By 
  Thomas 
  Muik, 
  LL.D., 
  C.M.G., 
  F.R.S* 
  

  

  1. 
  T70R 
  the 
  purpose 
  of 
  stating 
  Kronecker's 
  theorem 
  

   J? 
  regarding 
  certain 
  aggregates 
  of 
  minors 
  of 
  an 
  axi- 
  

   symmetric 
  determinant 
  of 
  even 
  order, 
  there 
  does 
  not 
  seem 
  to 
  

   be 
  a 
  more 
  appropriate 
  notation 
  than 
  that 
  introduced 
  in 
  the 
  

   Philosophical 
  Magazine 
  f 
  in 
  1884, 
  which 
  consists 
  in 
  giving 
  a 
  

   typical 
  term 
  of 
  the 
  aggregate 
  in 
  question 
  and 
  adding 
  some 
  

   distinguishing 
  mark 
  to 
  the 
  letters 
  or 
  figures 
  appearing 
  

   therein 
  whose 
  variation 
  gives 
  rise 
  to 
  the 
  other 
  terms. 
  Thus, 
  

   the 
  aggregate 
  

  

  1234 
  | 
  1235 
  

  

  5678 
  I 
  4678 
  

  

  * 
  Communicated 
  "by 
  the 
  Author. 
  

  

  t 
  The 
  article 
  is 
  entitled 
  " 
  An 
  Overlooked 
  Discoverer 
  in 
  the 
  Theory 
  of 
  

   Determinants," 
  and 
  appears 
  in 
  vol. 
  xviii. 
  pp. 
  416-427. 
  

  

  + 
  

  

  1236 
  

  

  4578 
  

  

  - 
  

  

  1237 
  

   4568 
  

  

  + 
  

  

  1238 
  

   4567 
  

  

  